Mrs Clinton announced the move during a meeting with Burma President Thein Sein at the United Nations General Assembly.
She said the move recognised "continued progress toward reform" in Burma, but an arms embargo remains in place.
Earlier, the speaker of Burma's parliament told the BBC that his country's reforms were "irreversible".
Shwe Mann, a powerful figure who recently had US sanctions against him lifted, said the government intends to establish a multi-party democratic system and market economy.
He described a good working relationship with opposition leader Aung San Suu Kyi - the woman the former government he served in kept under house arrest for 15 years.
She is not my enemy, he said, we both want to serve the interests of the country and people.
Shwe Mann is now playing a central role in mapping out the future - and is widely viewed as a likely presidential candidate, says the BBC's Jonathan Head.
President Thein Sein has led the country's transformation after five decades of direct military rule to the point where Aung San Suu Kyi has been elected to parliament.
Mr Thein Sein still faces opposition within Burma's military to political reform.
Ms Suu Kyi has been touring the US in advance of the United Nations summit, accepting the US Congressional Gold Medal.
On Wednesday, Mrs Clinton said the US "will begin the progress of easing restrictions on imports of Burmese goods into the United States".
"We hope this will provide more opportunities for your people to sell their goods into our market."
President Thein Sein said his country was "very grateful for the actions of the United States".
The US has previously suspended an investment ban on Burma.
In August, the US Congress renewed sanctions, but allowed the Obama administration to potentially waive its provisions.
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